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- V. Bentkus, A. Juozulynas, V. Paulauskas, V. PAULAUSKAS
- 1999

Multidimensional stable laws G α admit a well-known Lévy–LePage series representation G α = L ∞ j=1 Γ −1/α j We present (asym-ptotically) optimal bounds for the total variation distance between a stable law and the distribution of a partial sum of the Lévy–LePage series. In the one-dimensional case similar results were obtained earlier by Bentkus, Götze and… (More)

In this paper we analyze Cantor type sets constructed by the removal of open intervals whose lengths are the terms of the p-sequence, {k −p } ∞ k=1. We prove that these Cantor sets are s-sets, by providing sharp estimates of their Hausdorff measure and dimension. Sets of similar structure arise when studying the set of extremal points of the boundaries of… (More)

- Vygantas Paulauskas
- J. Multivariate Analysis
- 2010

In the paper a distribution function of a sum of independent non-identically distributed bivariate random vectors is approximated by distribution function of a stable vector and the accuracy of such approximation is estimated. The obtained general result is only a little bit worse when compared with known estimates for the case of multivariate independent… (More)

- Julius Damarackas, Vygantas Paulauskas
- J. Multivariate Analysis
- 2017

- V. Paulauskas
- 2004

have given new convergence and tightness criteria for random processes whose sample paths are right-continuous and have left-limits. These criteria have been applied by Bezandry and Fernique, Bloznelis and Paulauskas to prove the central limit theorem (CLT) in the Skorohod space D[0, 1]. In this paper, using recent technique of Bezandry and Fernique, we… (More)

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